Answer:
Step-by-step explanation:
We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.
If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:
3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.
This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:
3x + 4 = 4y, or y = (3/4)x + 1.
To solve this problem you must apply the proccedure shown below:
1- The ladder forms an isosceles triangle, because it has two equal sides.
2- Let's call the angle 
. To calculate it , you can divide the triangle into two equal right triangles and the angle will be divided into two equal parts too. Therefore, you can calculate the half of the angle and then multiply it by two, as following:
The answer is: 
Answer:
There are 1849 tiles on the whole wall.
Step-by-step explanation:
If there are 85 tiles along the two diagonals, we can use the following rule:
So we have 43 tiles in the first diagonal and 85-43 = 42 in the second diagonal.
Now, as we have a square the side will have 43 tiles so the total area will be cover with:
Therefore, there are 1849 tiles on the whole wall.
I hope it helps you!
Answer: 7. g = -50, 8. f= 340/6 9. 3 10 .125
Step-by-step explanation:#7 g(3): 4(3)^2 +6 =12^2 +6 = 1444=6= 150. We divide 150 by 3 giving us -50. #8We start by putting f(6): -3(6)^2 -4(6) +8. We use PEMDAS. -18^2 -24 +8 = _324-24+8 F= 340/6 #9 g(15) = Square root of 15-6=9 and the square root of 9 is 3, therefore, the answer is 3. #10 h (x) = 2^x we plug -3 to 2^-3. It is a negative number and it gives us .125 or 12.5
Solution:
<em>Simple Interest = Principal Amount × Rate of Interest/100 × Time</em>
Here, Principal Amount = $6000
Rate of Interest = 6%
Time = 4 years
Simple Interest = 6000 × 6/100 × 4 = <em>$1440</em>
